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Finding the Third Proportional to 244,700 and 370,424

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Solution

The third proportional to 244,700 and 370,424 is: 560,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,700 : 370,424 = 370,424 : x
  2. Step 2: Convert to fraction form
    244,700/370,424 = 370,424/x
  3. Step 3: Cross multiply
    244,700x = 370,424 × 370,424
  4. Step 4: Simplify right side
    244,700x = 137,213,939,776
  5. Step 5: Solve for x
    x = 137,213,939,776/244,700
  6. Step 6: Final answer
    x = 560,743.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.